Petals around the rose

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Question: Say you roll five dice and get a one, a two, a three, a four, and a five. Your sum would be six.
Rolling all threes would give ten. Rolling a two, four, two, four, and six would be zero. Rolling a two, three, four, five, and six would be six.

What would you get if you roll a three, a four, a one, a five, and a four?

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